{
  "id": "1212.6351",
  "version": "v1",
  "published": "2012-12-27T11:33:08.000Z",
  "updated": "2012-12-27T11:33:08.000Z",
  "title": "Lie and conditional symmetries of the three-component diffusive Lotka - Volterra system",
  "authors": [
    "Roman Cherniha",
    "Vasyl' Davydovych"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "Lie and Q-conditional symmetries of the classical three-component diffusive Lotka - Volterra system in the case of one space variable are studied. The group-classification problems for finding Lie symmetries and Q-conditional symmetries of the first type are completely solved. Notably, non-Lie symmetries (Q-conditional symmetry operators) for a multi-component non-linear reaction-diffusion system are constructed for the first time. An example of non-Lie symmetry reduction for solving a biologically motivated problem is presented.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-12-27T11:33:08.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "volterra system",
      "conditional symmetries",
      "multi-component non-linear reaction-diffusion system",
      "q-conditional symmetry operators",
      "non-lie symmetry reduction"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/1751-8113/46/18/185204",
      "journal": "Journal of Physics A Mathematical General",
      "year": 2013,
      "month": "May",
      "volume": 46,
      "number": 18,
      "pages": 185204
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013JPhA...46r5204C"
    }
  }
}